CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely $α=-0.011$, $β= 0.351$, $γ= 1.309$ and $δ= 4.73$. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.

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